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Finding the Fourth Proportional to 1,801.83, 2,701.80 and 827.04

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Solution

The fourth proportional to 1,801.83, 2,701.80 and 827.04 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.83 : 2,701.80 = 827.04 : x
  2. Step 2: Convert to fraction form
    1,801.83/2,701.80 = 827.04/x
  3. Step 3: Cross multiply
    1,801.83x = 2,701.80 × 827.04
  4. Step 4: Simplify right side
    1,801.83x = 2,234,496.67
  5. Step 5: Solve for x
    x = 2,234,496.67/1,801.83
  6. Step 6: Final answer
    x = 1,240.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.